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Simplifying -21x2 + -22x + -8 = 0 Reorder the terms: -8 + -22x + -21x2 = 0 Solving -8 + -22x + -21x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 22x + 21x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(8 + 22x + 21x2)' equal to zero and attempt to solve: Simplifying 8 + 22x + 21x2 = 0 Solving 8 + 22x + 21x2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.380952381 + 1.047619048x + x2 = 0 Move the constant term to the right: Add '-0.380952381' to each side of the equation. 0.380952381 + 1.047619048x + -0.380952381 + x2 = 0 + -0.380952381 Reorder the terms: 0.380952381 + -0.380952381 + 1.047619048x + x2 = 0 + -0.380952381 Combine like terms: 0.380952381 + -0.380952381 = 0.000000000 0.000000000 + 1.047619048x + x2 = 0 + -0.380952381 1.047619048x + x2 = 0 + -0.380952381 Combine like terms: 0 + -0.380952381 = -0.380952381 1.047619048x + x2 = -0.380952381 The x term is 1.047619048x. Take half its coefficient (0.523809524). Square it (0.2743764174) and add it to both sides. Add '0.2743764174' to each side of the equation. 1.047619048x + 0.2743764174 + x2 = -0.380952381 + 0.2743764174 Reorder the terms: 0.2743764174 + 1.047619048x + x2 = -0.380952381 + 0.2743764174 Combine like terms: -0.380952381 + 0.2743764174 = -0.1065759636 0.2743764174 + 1.047619048x + x2 = -0.1065759636 Factor a perfect square on the left side: (x + 0.523809524)(x + 0.523809524) = -0.1065759636 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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